Question

In: Math

There is one 1$ bill and one 5$ bill in your left pocket and three 1$...

There is one 1$ bill and one 5$ bill in your left pocket and three 1$ bills in your right pocket. You move one bill from the left pocket to the right pocket. After that you take one the remaining bill from the left pocket and one of the bills at random from your right pocket. Let ? denote the amount of money that you take from the left pocket and ? denote the amount of money that you take from the right pocket.

(a) Covariance between ? and ? is...

(b) Let ? denote the total amount of money that you get from your pockets. V??(?) is...

(c) Let ? denote the share of money that you get from the left pocket, i.e. ? ? . Calculate the mean of U.

Solutions

Expert Solution

z can take two values

z= 2 (x=1,y=1) and z=6[(x=1,y=5),(x=5,y=1)]


Related Solutions

There is one 1$ bill and one 5$ bill in your left pocket and three 1$...
There is one 1$ bill and one 5$ bill in your left pocket and three 1$ bills in your right pocket. You move one bill from the left pocket to the right pocket. After that you take one the remaining bill from the left pocket and one of the bills at random from your right pocket. Let ? denote the amount of money that you take from the left pocket and ? denote the amount of money that you take...
3. There is one 1$ bill and one 5$ bill in your left pocket and the...
3. There is one 1$ bill and one 5$ bill in your left pocket and the same in your right pocket. You move one bill from the left pocket to the right pocket. After that you take the remaining bill from the left pocket and one of the bills at random from the right pocket. Let ? denote the amount of money that you take from the left pocket and ? denote the amount of money that you take from...
a. What are the 3 functions of money? b. The one-dollar-bill in your pocket/purse is a...
a. What are the 3 functions of money? b. The one-dollar-bill in your pocket/purse is a fiat money. Why? c. List the 2 ways of measuring the money supply of the United States. In addition, list the components of each measurement of money supply. d. True or False : Of the 2 measurements of money supply, M1 is broader. (If you answer false, you must provide a corrected statement.) e. What is another term for time deposits? f. Fill in...
A box contains forty $1 bills, six $5 bills, three $20 bills, and one $100 bill....
A box contains forty $1 bills, six $5 bills, three $20 bills, and one $100 bill. A bill is randomly selected, let X be the dollar value of the bill. [2a] Construct a probability distribution of X. [2b] Find the expectation of X. [2c] Find the variance and the standard deviation of X.
Conditional probability You have two coins in your pocket. One is a regular coin and the...
Conditional probability You have two coins in your pocket. One is a regular coin and the other is a weighted coin that has a 75% chance of landing heads up. You can’t tell the coins apart by inspecting them. You take a coin out of your pocket and toss it. It lands heads up. a. What is the probability that the coin is the fair coin? b. How many times would you decide to flip the coin before you are...
A person has ten bills in his pocket: 3 ones, 2 fives, 3 tens, and 2 twenties. If three bills are drawn at random without replacement then how many ways are there that their sum is $23 or more and with at least one "5" bill?
A person has ten bills in his pocket: 3 ones, 2 fives, 3 tens, and 2 twenties. If three bills are drawn at random without replacement then how many ways are there that their sum is $23 or more and with at least one "5" bill?
A person has 5 coins in his pocket. Two have both sides being heads, one has...
A person has 5 coins in his pocket. Two have both sides being heads, one has both sides being tails, and two are normal. The coins cannot be distinguished unless one looks at them. a) The person closes his eyes, picks a coin from pocket at random, and tosses it. What is the probability that the down-side of the coin is heads? b) He opens his eyes and sees that the up-side of the coin is heads. What is the...
Film Review: Rock Pocket Mice of the Desert Southwest 1. The rock pocket mice come in...
Film Review: Rock Pocket Mice of the Desert Southwest 1. The rock pocket mice come in two variations: a. Light mice which are found: _________________ b. dark mice which are found: _________________ 2. What organisms provide the selective force in the mouse population: 3. How did the dark mice originate? 4. What determines the value of a mutation? 5. What is the explanation for the dark mice having a light underbelly? 6. Mutation is a ____event; but ____ is not....
1. One of your colleagues has left their screen open (logged into MUSE), you have a...
1. One of your colleagues has left their screen open (logged into MUSE), you have a huge workload and need to order entry/edit your requisition. Your colleague is nowhere to be found. What would you do? 2. You are about to do an ECG on a patient and are typing their information into the system when you notice that the date of birth is wrong, and the patient’s last name is misspelled. Your patient insists you get the ECG done...
1.A three-course meal at a restaurant consists of a choice of one of 5 salads, one...
1.A three-course meal at a restaurant consists of a choice of one of 5 salads, one of 7 entrees and one of 4 desserts. If a diner chooses each course of her meal randomly, what is the probability that she will choose: a Cobb salad, grilled ribs with corn on the cob, and a slice of boysenberry cobbler. 2. If the letters ACDEINOTU are arranged in order randomly, what is the probability that the arrangement will spell the word "EDUCATION"...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT